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Finding the Third Proportional to 202,617 and 440,911

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Solution

The third proportional to 202,617 and 440,911 is: 959,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,617 : 440,911 = 440,911 : x
  2. Step 2: Convert to fraction form
    202,617/440,911 = 440,911/x
  3. Step 3: Cross multiply
    202,617x = 440,911 × 440,911
  4. Step 4: Simplify right side
    202,617x = 194,402,509,921
  5. Step 5: Solve for x
    x = 194,402,509,921/202,617
  6. Step 6: Final answer
    x = 959,458.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.